313665 has 16 divisors (see below), whose sum is σ = 547776. Its totient is φ = 152000.

The previous prime is 313661. The next prime is 313669. The reversal of 313665 is 566313.

It is an interprime number because it is at equal distance from previous prime (313661) and next prime (313669).

It is not a de Polignac number, because 313665 - 2² = 313661 is a prime.

313665 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313665.

It is not an unprimeable number, because it can be changed into a prime (313661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (34236).

2³¹³⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

313665 is a deficient number, since it is larger than the sum of its proper divisors (234111).

313665 is a wasteful number, since it uses less digits than its factorization.

313665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920.

The product of its digits is 1620, while the sum is 24.

The square root of 313665 is about 560.0580327073. The cubic root of 313665 is about 67.9446637472.

Adding to 313665 its reverse (566313), we get a palindrome (879978).

The spelling of 313665 in words is "three hundred thirteen thousand, six hundred sixty-five".